8 The curve \(y = x ^ { 3 } - k x ^ { 2 } + x - 3\) has two stationary points.
- Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\).
- Given that there is a stationary point when \(x = 1\), find the value of \(k\).
- Determine whether this stationary point is a minimum or maximum point.
- Find the \(x\)-coordinate of the other stationary point.